9438442636896 has 1440 divisors, whose sum is σ = 36029311849440. Its totient is φ = 2322868617216.

The previous prime is 9438442636879. The next prime is 9438442636937. The reversal of 9438442636896 is 6986362448349.

9438442636896 is a `hidden beast` number, since 9 + 4 + 3 + 84 + 426 + 36 + 8 + 96 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 12468219750 + ... + 12468220506.

It is an arithmetic number, because the mean of its divisors is an integer number (25020355451).

Almost surely, 2^{9438442636896} is an apocalyptic number.

9438442636896 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9438442636896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18014655924720).

9438442636896 is an abundant number, since it is smaller than the sum of its proper divisors (26590869212544).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

9438442636896 is a wasteful number, since it uses less digits than its factorization.

9438442636896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 906 (or 874 counting only the distinct ones).

The product of its digits is 1289945088, while the sum is 72.

The spelling of 9438442636896 in words is "nine trillion, four hundred thirty-eight billion, four hundred forty-two million, six hundred thirty-six thousand, eight hundred ninety-six".